The line joining P(-4,5) and Q(3,2) intersects the y axis at R. PM and QN are perpendiculars from P and Q on the x axis Find a) the ratio PR:RQ b) the coordinates of R c) the area of the quadrilateral PMNQ.
Answers
Answered by
11
Step-by-step explanation:
slopeofpq=
−4−3
5−2
=
7
−3
y−2=
7
−3
(x−3)
7y−14=−3x+9
7y+3x=23
areaofPMNQ=
2
1
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
−4
−4
3
3
−4
5
0
0
2
5
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
=
2
1
(6+15+20+8)
=
2
34+15
=
2
49
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